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A New Approach to Fuzzy Output Feedback Controller Design of Continuous-Time Takagi–Sugeno Fuzzy Systems

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Abstract

This paper is concerned with the problem of output feedback control for continuous-time T–S fuzzy systems. The aim is to reduce the conservatism of finding output feedback controller design conditions based on the Lyapunov function which depends on membership functions. Firstly, in order to improve the existing results, a new approach to bound the time derivatives of the membership functions is proposed. Secondly, based on the non-quadratic Lyapunov function and matrix decoupling techniques, the static-output feedback controller and the dynamic output feedback controller are designed to guarantee that the system is asymptotically stable, respectively. Finally, three examples are given to indicate the effectiveness of the approach.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (61877062 and 61977043).

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353, China

    Zhiguo Yan, Jian Zhang & Guolin Hu

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  1. Zhiguo Yan
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  2. Jian Zhang
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  3. Guolin Hu
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Correspondence to Guolin Hu.

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Yan, Z., Zhang, J. & Hu, G. A New Approach to Fuzzy Output Feedback Controller Design of Continuous-Time Takagi–Sugeno Fuzzy Systems. Int. J. Fuzzy Syst. 22, 2223–2235 (2020). https://doi.org/10.1007/s40815-020-00920-y

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